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What is the Least Common Multiple of 5479 and 5496?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5479 and 5496 is 30112584.

LCM(5479,5496) = 30112584

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Least Common Multiple of 5479 and 5496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5479 and 5496, than apply into the LCM equation.

GCF(5479,5496) = 1
LCM(5479,5496) = ( 5479 × 5496) / 1
LCM(5479,5496) = 30112584 / 1
LCM(5479,5496) = 30112584

Least Common Multiple (LCM) of 5479 and 5496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5479 and 5496. First we will calculate the prime factors of 5479 and 5496.

Prime Factorization of 5479

Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:

5479 = 54791

Prime Factorization of 5496

Prime factors of 5496 are 2, 3, 229. Prime factorization of 5496 in exponential form is:

5496 = 23 × 31 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5479 and 5496.

LCM(5479,5496) = 54791 × 23 × 31 × 2291
LCM(5479,5496) = 30112584